1. The relationship between a2+b2=c2 is that a+b=c (leg+leg=hypotnuse.)
2. The way I figured out the hypotenuse was by using the 2 legs (12cm and 5cm) to find the hypotenuse.
a2+b2=c2
12squared+5squared=c2
(12x12)(5x5)=c2
144+25=c
c=169
Square root of c =Square root of 169
c2=13
3. The side lengths are 6,8 and 11cm. the way to find out if this triangle is a right triangle is to add up the two legs and see if they equal the hypotenuse.
6+8=14
This is not a right triangle.
Showing posts with label pythagorean relationship. Show all posts
Showing posts with label pythagorean relationship. Show all posts
Monday, February 13, 2012
Ross's pythagorean relationship
A pythagorean relationship:
a sq+b sq=c sq
Figure out the side lengths of a triangle.
Try to find your answer.
Think if its a right triangle or not.
Show your work.
a sq+b sq=c sq
Figure out the side lengths of a triangle.
Try to find your answer.
Think if its a right triangle or not.
Show your work.
Diana's Pythagoras Post.
1)
of a right triangle equals the area of the square attached to the hypotenuse.
The relationship between the lengths of the side of a right triangle. The sum of the areas of the squares attached to the legs
of a right triangle equals the area of the square attached to the hypotenuse.
2) Solve the missing side length.
3)Is this a right triangle?
Textbook Answers
12) While shopping online, Ji Hun finds a square rug with the area of 11 m squared. He needs to know if it will fit his 4 m x 5 m bedroom.
a)
b)√11 = 3.316
c)
Yes it will, because the area of the room is 20 m2.
16) A fitness center will install square hot tub in a 6m x 6m room . They want the tub to fill no more than 75% of the rooms area.
a)
b) the fitness center should install a dimension of 5.1 by 5.1 because the area does not exceed 75% of the space available.
Heres a video that can help you.
Paolo's pythagorean blog post
3 questions from pg. 110-111 #4,#7 #,13
4. Find the height of the pole where the guy wire is attached,
to the nearest tenth of a meter.
10msq+2msq=
100m+4m=
104m
√104m=10.19
7. What is the height of the wheelchair ramp? Give you answer to
the nearest tenth of a centimeter.
80cmsq+79cmsq=
6,400m+6,241m=
4. Find the height of the pole where the guy wire is attached,
to the nearest tenth of a meter.
10msq+2msq=
100m+4m=
104m
√104m=10.19
7. What is the height of the wheelchair ramp? Give you answer to
the nearest tenth of a centimeter.
80cmsq+79cmsq=
6,400m+6,241m=
12,641m
√12,641m=112.4
13. A cruise ship travels from Port Cassett north at speed of 34km/h
for 2.5 h. Then turns 90° and travels west at 30 km/h for 7.3 h. When it
reaches Green sea island how far is the ship from Port Cassett?
235km
Pythagoras Scribe Edit
1.Answer in a short paragraph and with diagrams
The Pythagorean relationship means that the sum of the two side lengths (a and b)
should equal the hypotenuse ( C ).
2. Solve for the missing side length.
a2+b2=c2
12cm^2+5cm^2=c2
144cm+25cm=
169cm=c2
√169cm=√c2
13cm=c2
The hypotenuse is 13cm
3. Is this a right triangle? Prove it!!!
a2+b2=c2
8cm2+6cm2=c2
(8x8)+(6x6)=
64cm+36cm=
100cm
√100cm=√C2
10cm
The hypotenuse is 10cm.
Sunday, January 22, 2012
Raeesa's Square Root Answers #-5,12,and 17
17)a,b,c
12) a,b,c.
c- yes because the side lengths of the rug is shorter than both side lengths of the room.
5) a,b,c.
1)
This Pythagorean Relationship means that the sum of the areas of the two shortest sides of a right angle triangle (a and b) must always be equal to the area of the hypotenuse (c).
2) Solve for the missing side length.
a^2+b^2=c^2
12^2+ 5^2= c^2
144+ 25= c^2
169=c^2
root 169= root of c
13cm = c
the hypotenuse equals to 13cm.
3) Is this a right triangle? Prove it!!!
a^2 +b^2= c^2
8cm^2+6cm^2= 11cm^2
(8 times 8) + (6 times 6)= ( 11 times 11)
64+ 36=121
100 =/121
No, this is not a perfect right triangle because a^2 + b^2 is not equal to c^2.
Irena's Textbook Questions
Here's a link on square roots.
Here's a video on square roots.
1. Answer in a short paragraph and with diagrams.
Pythagorean Relationship:
The relationship between the lengths of the sides of a right triangle. The sum of the areas of the squares attached to the legs of a right triangle equals the area of the square attached to the hypotenuse. 2 2 2
a + b = c
2. Solve the missing side length
3. Is this a right triangle? Prove it!
No it is not a right triangle. It is not a right triangle because the sum of the areas of the squares of the legs are not equal to the area of the square of the hypotenuse.
Saturday, January 21, 2012
Nikka's textbook questions 5, 10, 14
B. No, there is no more then 1 answer because, there is no multiple of 12 between the perfect squares of 49 and 64.
Here's some games you can play (:
Pythagorean Relationship
1.
A pythagorean relationship means the sum of the areas of the two shortest sides of a right angle triangle (a and b), and it must always equal to the area of the hypotenus (c).
2.
^= squared.
a^+b^=c^
12^+5^=c^
(12x12)+(5x5)=c^
144+25=c^
169=c^
root 169=root c^
13cm=c^
The hypotenuse is 13cm.
3.
=/ = does not equal.
a^+b^=11^
(8x8)+(6x6)=(11x11)
64+36=121
100=/121
No it is not a right triangle because, the legs does not equal the hypotenuse.
Beverly's textbook Questions 4, 10, 14
B) No, there is no more then 1 answer because there is no multiple of 12 betwee
n the two perfect squares 49 and 64.
Here is a video and a link video to help you out (:
1. Answer in a short paragraph and with diagrams
The relationship between the lengths of the sides of a right triangle. The sum of the area of the squares attached to the legs of a right triangle equals the area of the square attached to the hypotenuse.
2. Solve the missing side length.
3. Is this a right triangle? Prove it !
No, it is not a right triangle because both of the legs do not equal the hypotenus.
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